Macroscopic Dynamics of Multi-Lane Traffic
Abstract
We present a macroscopic model of mixed multi-lane freeway traffic that can be easily calibrated to empirical traffic data, as is shown for Dutch highway data. The model is derived from a gas-kinetic level of description, including effects of vehicular space requirements and velocity correlations between successive vehicles. We also give a derivation of the lane-changing rates. The resulting dynamic velocity equations contain non-local and anisotropic interaction terms which allow a robust and efficient numerical simulation of multi-lane traffic. As demonstrated by various examples, this facilitates the investigation of synchronization patterns among lanes and effects of on-ramps, off-ramps, lane closures, or accidents.
Cite
@article{arxiv.cond-mat/9906430,
title = {Macroscopic Dynamics of Multi-Lane Traffic},
author = {Vladimir Shvetsov and Dirk Helbing},
journal= {arXiv preprint arXiv:cond-mat/9906430},
year = {2009}
}
Comments
For related work see http://www.theo2.physik.uni-stuttgart.de/helbing.html